Finding the Third Proportional to 61,728 and 131,648

Step by Step Solution

1. Step 1: Write the proportion equation
   61,728 : 131,648 = 131,648 : x
2. Step 2: Convert to fraction form
   61,728/131,648 = 131,648/x
3. Step 3: Cross multiply
   61,728x = 131,648 × 131,648
4. Step 4: Simplify right side
   61,728x = 17,331,195,904
5. Step 5: Solve for x
   x = 17,331,195,904/61,728
6. Step 6: Final answer
   x = 280,767.17